TSTP Solution File: LCL396-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL396-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 14:29:54 EDT 2022

% Result   : Unsatisfiable 24.79s 24.98s
% Output   : Refutation 24.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LCL396-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  2 18:54:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox2 on n015.cluster.edu,
% 0.12/0.35  Sat Jul  2 18:54:44 2022
% 0.12/0.35  The command was "./sos".  The process ID is 23088.
% 0.12/0.35  
% 0.12/0.35  set(prolog_style_variables).
% 0.12/0.35  set(auto).
% 0.12/0.35     dependent: set(auto1).
% 0.12/0.35     dependent: set(process_input).
% 0.12/0.35     dependent: clear(print_kept).
% 0.12/0.35     dependent: clear(print_new_demod).
% 0.12/0.35     dependent: clear(print_back_demod).
% 0.12/0.35     dependent: clear(print_back_sub).
% 0.12/0.35     dependent: set(control_memory).
% 0.12/0.35     dependent: assign(max_mem, 12000).
% 0.12/0.35     dependent: assign(pick_given_ratio, 4).
% 0.12/0.35     dependent: assign(stats_level, 1).
% 0.12/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35     dependent: assign(sos_limit, 5000).
% 0.12/0.35     dependent: assign(max_weight, 60).
% 0.12/0.35  clear(print_given).
% 0.12/0.35  
% 0.12/0.35  list(usable).
% 0.12/0.35  
% 0.12/0.35  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.12/0.35  
% 0.12/0.35  This is a Horn set without equality.  The strategy will
% 0.12/0.35  be hyperresolution, with satellites in sos and nuclei
% 0.12/0.35  in usable.
% 0.12/0.35  
% 0.12/0.35     dependent: set(hyper_res).
% 0.12/0.35     dependent: clear(order_hyper).
% 0.12/0.35  
% 0.12/0.35  ------------> process usable:
% 0.12/0.35  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.12/0.38  
% 0.12/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38  
% 0.12/0.38  Stopped by limit on number of solutions
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  -------------- Softie stats --------------
% 0.12/0.38  
% 0.12/0.38  UPDATE_STOP: 300
% 0.12/0.38  SFINDER_TIME_LIMIT: 2
% 0.12/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38  number of clauses in intial UL: 2
% 0.12/0.38  number of clauses initially in problem: 5
% 0.12/0.38  percentage of clauses intially in UL: 40
% 0.12/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.38  percent of all initial clauses that are short: 100
% 0.12/0.38  absolute distinct symbol count: 5
% 0.12/0.38     distinct predicate count: 1
% 0.12/0.38     distinct function count: 2
% 0.12/0.38     distinct constant count: 2
% 0.12/0.38  
% 0.12/0.38  ---------- no more Softie stats ----------
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  =========== start of search ===========
% 10.42/10.64  
% 10.42/10.64  
% 10.42/10.64  Changing weight limit from 60 to 49.
% 10.42/10.64  
% 10.42/10.64  Model 2 (0.00 seconds, 0 Inserts)
% 10.42/10.64  
% 10.42/10.64  Stopped by limit on number of solutions
% 10.42/10.64  
% 10.42/10.64  Stopped by limit on insertions
% 10.42/10.64  
% 10.42/10.64  Model 3 (0.00 seconds, 0 Inserts)
% 10.42/10.64  
% 10.42/10.64  Stopped by limit on number of solutions
% 10.42/10.64  
% 10.42/10.64  Stopped by limit on insertions
% 10.42/10.64  
% 10.42/10.64  Model 4 [ 1 0 164 ] (0.00 seconds, 250000 Inserts)
% 10.42/10.64  
% 10.42/10.64  Stopped by limit on insertions
% 10.42/10.64  
% 10.42/10.64  Model 5 [ 1 0 93 ] (0.00 seconds, 250000 Inserts)
% 10.42/10.64  
% 10.42/10.64  Resetting weight limit to 49 after 150 givens.
% 10.42/10.64  
% 24.79/24.98  
% 24.79/24.98  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 24.79/24.98  
% 24.79/24.98  Stopped by limit on insertions
% 24.79/24.98  
% 24.79/24.98  Model 6 [ 1 1 290 ] (0.00 seconds, 250000 Inserts)
% 24.79/24.98  
% 24.79/24.98  Stopped by limit on insertions
% 24.79/24.98  
% 24.79/24.98  Model 7 [ 1 0 50 ] (0.00 seconds, 250000 Inserts)
% 24.79/24.98  
% 24.79/24.98  Stopped by limit on insertions
% 24.79/24.98  
% 24.79/24.98  ----> UNIT CONFLICT at  24.59 sec ----> 4970 [binary,4969.1,2.1] {+} $F.
% 24.79/24.98  
% 24.79/24.98  Length of proof is 34.  Level of proof is 24.
% 24.79/24.98  
% 24.79/24.98  ---------------- PROOF ----------------
% 24.79/24.98  % SZS status Unsatisfiable
% 24.79/24.98  % SZS output start Refutation
% 24.79/24.98  
% 24.79/24.98  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 24.79/24.98  2 [] {+} -is_a_theorem(implies(implies(not(not(x)),y),implies(x,y))).
% 24.79/24.98  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 24.79/24.98  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 24.79/24.98  5 [] {-} is_a_theorem(implies(A,implies(not(A),B))).
% 24.79/24.98  6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 24.79/24.98  7 [hyper,4,1,3] {+} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 24.79/24.98  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 24.79/24.98  16 [hyper,6,1,6] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(A,implies(D,C))))).
% 24.79/24.98  21 [hyper,9,1,6] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 24.79/24.98  25 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 24.79/24.98  57 [hyper,21,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 24.79/24.98  70 [hyper,57,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 24.79/24.98  89 [hyper,70,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 24.79/24.98  102 [hyper,89,1,25] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 24.79/24.98  133 [hyper,102,1,4] {+} is_a_theorem(implies(A,implies(B,B))).
% 24.79/24.98  193 [hyper,133,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 24.79/24.98  206 [hyper,193,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,D),B),C))).
% 24.79/24.98  211 [hyper,193,1,7] {-} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 24.79/24.98  278 [hyper,206,1,21] {-} is_a_theorem(implies(implies(implies(A,A),not(B)),implies(B,implies(C,D)))).
% 24.79/24.98  303 [hyper,211,1,16] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 24.79/24.98  361 [hyper,303,1,303] {-} is_a_theorem(implies(A,implies(implies(B,implies(not(C),C)),implies(B,C)))).
% 24.79/24.98  365 [hyper,303,1,70] {+} is_a_theorem(implies(A,implies(B,implies(C,A)))).
% 24.79/24.98  388 [hyper,365,1,303] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 24.79/24.98  441 [hyper,388,1,388] {+} is_a_theorem(implies(A,implies(B,A))).
% 24.79/24.98  517 [hyper,441,1,3] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 24.79/24.98  1652 [hyper,517,1,303] {-} is_a_theorem(implies(A,implies(implies(implies(B,not(C)),C),C))).
% 24.79/24.98  1673 [hyper,517,1,278] {-} is_a_theorem(implies(not(A),implies(A,implies(B,C)))).
% 24.79/24.98  1790 [hyper,1673,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(not(A),D))).
% 24.79/24.98  4094 [hyper,1790,1,303] {-} is_a_theorem(implies(not(A),implies(B,implies(A,C)))).
% 24.79/24.98  4128 [hyper,4094,1,303] {-} is_a_theorem(implies(A,implies(not(B),implies(B,C)))).
% 24.79/24.98  4145 [hyper,4128,1,4128] {+} is_a_theorem(implies(not(A),implies(A,B))).
% 24.79/24.98  4220 [hyper,4145,1,303] {-} is_a_theorem(implies(A,implies(not(not(B)),B))).
% 24.79/24.98  4234 [hyper,4220,1,4220] {+} is_a_theorem(implies(not(not(A)),A)).
% 24.79/24.98  4282 [hyper,4234,1,21] {+} is_a_theorem(implies(A,implies(not(not(not(A))),B))).
% 24.79/24.98  4384 [hyper,1652,1,1652] {-} is_a_theorem(implies(implies(implies(A,not(B)),B),B)).
% 24.79/24.98  4554 [hyper,361,1,4384] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(A,B))).
% 24.79/24.98  4711 [hyper,4282,1,4554] {-} is_a_theorem(implies(A,not(not(A)))).
% 24.79/24.98  4969 [hyper,4711,1,3] {-} is_a_theorem(implies(implies(not(not(A)),B),implies(A,B))).
% 24.79/24.98  4970 [binary,4969.1,2.1] {+} $F.
% 24.79/24.98  
% 24.79/24.98  % SZS output end Refutation
% 24.79/24.98  ------------ end of proof -------------
% 24.79/24.98  
% 24.79/24.98  
% 24.79/24.98  Search stopped by max_proofs option.
% 24.79/24.98  
% 24.79/24.98  
% 24.79/24.98  Search stopped by max_proofs option.
% 24.79/24.98  
% 24.79/24.98  ============ end of search ============
% 24.79/24.98  
% 24.79/24.98  ----------- soft-scott stats ----------
% 24.79/24.98  
% 24.79/24.98  true clauses given          49      (28.8%)
% 24.79/24.98  false clauses given        121
% 24.79/24.98  
% 24.79/24.98        FALSE     TRUE
% 24.79/24.98     6  1         0
% 24.79/24.98     8  1         0
% 24.79/24.98     9  0         1
% 24.79/24.98    10  0         6
% 24.79/24.98    11  2         18
% 24.79/24.98    12  1         51
% 24.79/24.98    13  20        60
% 24.79/24.98    14  7         167
% 24.79/24.98    15  41        213
% 24.79/24.98    16  7         348
% 24.79/24.98    17  50        347
% 24.79/24.98    18  4         533
% 24.79/24.98    19  54        440
% 24.79/24.98    20  9         316
% 24.79/24.98    21  50        0
% 24.79/24.98    22  9         0
% 24.79/24.98    23  41        0
% 24.79/24.98    24  9         0
% 24.79/24.98    25  40        0
% 24.79/24.98    26  6         0
% 24.79/24.98    27  50        0
% 24.79/24.98    28  2         0
% 24.79/24.98    29  34        0
% 24.79/24.98    30  3         0
% 24.79/24.98    31  69        0
% 24.79/24.98    32  1         0
% 24.79/24.98    33  7         0
% 24.79/24.98    35  4         0
% 24.79/24.98    37  7         0
% 24.79/24.98    39  6         0
% 24.79/24.98    40  1         0
% 24.79/24.98    41  1         0
% 24.79/24.98    43  2         0
% 24.79/24.98    45  1         0
% 24.79/24.98    49  2         0
% 24.79/24.98  tot:  542       2500      (82.2% true)
% 24.79/24.98  
% 24.79/24.98  
% 24.79/24.98  Model 7 [ 1 -536 50 ] (0.00 seconds, 250000 Inserts)
% 24.79/24.98  
% 24.79/24.98  That finishes the proof of the theorem.
% 24.79/24.98  
% 24.79/24.98  Process 23088 finished Sat Jul  2 18:55:09 2022
%------------------------------------------------------------------------------